Answer:
4m³+8 is a 3rd degree binomial with constant term of 
.
Step-by-step explanation:
- A binomial expression consists of two terms.
For example,
is a binomial, where m and n are two terms.
- As we know that the degree of the polynomial is said to be the highest exponent of any of the terms.
For example, in expression 7m + 3, the exponent of m is 1. So it is 1st degree polynomial.
Similarly, in the expression 10m²+9m, variable m has the highest exponent which is 2. So it is 2nd degree polynomial.
Now, let us write a 3rd degree binomial with a constant term of 8
4m³+8
As it has two terms which are 4m³ and 8, Therefore, it would be called binomial.
Also the highest exponent with variable m is 
. Therefore it would be a 3rd degree binomial with constant term of .
Answer:
15 cm by 12 cm.
Step-by-step explanation:
Given:
Amanda uses a rectangular canvas for a panting.
The length is 
centimeters.
The width is 
centimeters, and is 4/5 of the length .
Question asked:
.What are the dimensions of the canvas ?
Solution:
<u>As given that the width is </u>
of the length.
Adding both sides by 
Subtracting both sides by 
By cross multiplication:-
By diving both sides by 70
<u>Now, substituting the value:-</u>
The length = cm
= 
The width = cm
= 
Thus, length and width of canvas are 15 cm and 12 cm.
Answer:
4pi in^2
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
π = pi
r = radius
h = height
Let me illustrate with an example
A cylinder has the following dimensions
r = radius = 20
h = height = 10
lateral area = 2 x π x 20 x 10 = 400π
If dimensions are reduced to one-fifth their original length, new dimensions are
r = radius = 20 x 1/5 = 4
h = height = 10 x 1/5 = 2
New lateral area = 2 x 4 x 2 x π = 16π
change in lateral area = 400π / 16π = 25
If dimensions are reduced by 1/5, lateral area would reduce by 25
100 pi / 25 = 4
This is my answer. 0 < x < 0,5
